Derivation of an expression for the roundoff noise determinant det (KW)^{1/2} for digital filters

Helge Jørsboe

Research output: Contribution to journalLetterResearchpeer-review

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Abstract

The minimal roundoff noise in fixed point digital filters is determined by a certain determinant, generally denoted by det(KW)^{1/2}. This determinant may be expressed by the poles and zeros of the filter transfer function H(z). This paper presents a simple and direct derivation of this expression, based upon an expansion of H(z) in partial fractions of the first order.
Original languageEnglish
JournalIEEE Transactions on Circuits and Systems
Volume25
Issue number8
Pages (from-to)642-643
ISSN0098-4094
DOIs
Publication statusPublished - 1978

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